Why the Placement Route Matters
Reinsurance transfers specified insurance risks from an insurer to a reinsurer under a contract. Before assessing what the reinsurer may owe after a loss, an actuary must first establish which risks were covered and by what placement route. In facultative reinsurance, the parties consider an individual risk and coverage depends on its specific acceptance. In treaty reinsurance, the contract defines a portfolio or class of business, and qualifying risks are covered under its terms without separate risk-by-risk acceptance.
The distinction is about how business enters the reinsurance arrangement, not simply how large a risk is or how much loss it may produce. A large risk can qualify under a treaty if it meets the treaty terms; a smaller risk may need a facultative placement if it falls outside them. The exact contract wording controls.
Treaty reinsurance is reinsurance covering a defined portfolio or class of risks under a standing contract. Risks that meet the treaty’s stated conditions are covered as provided by the contract, without a separate acceptance decision for each qualifying risk. Risks outside its scope are not made eligible merely because they appear in the insurer’s records or are reported to the reinsurer.
Compare the Placement and Acceptance Process
The insurer and reinsurer set out the applicable terms in a contract. For a facultative placement, the evidence of agreement is specific to the risk: for example, a signed slip, written confirmation, or other binding documentation specified by the parties. For a treaty, the contract itself establishes the rules for the covered portfolio. A routine report of risks may provide information about business written, but reporting does not usually replace the treaty’s eligibility conditions or create coverage for an ineligible risk.
| Question | Facultative reinsurance | Treaty reinsurance |
|---|---|---|
| What is considered? | An individual risk or specified exposure | A defined portfolio or class of business |
| How is acceptance established? | Specific agreement for that risk, amount, and effective period | The risk meets the contract’s conditions; no separate acceptance decision is normally needed |
| What should be checked? | Risk identity, agreed terms, amount, and effective date | Covered class, territory, period, exclusions, and any stated eligibility limits |
| Does submission or reporting alone establish cover? | No; submission is not acceptance | No; reporting does not make an out-of-scope risk eligible |
A treaty may require the insurer to provide periodic schedules or other reports. Those are administrative or contractual requirements, and their precise effect depends on the wording. Do not infer that a risk is either covered or uncovered solely from when a report was sent: first determine the treaty’s coverage rule and any reporting conditions.
A Simple Eligibility Model
For a portfolio review, represent each risk by \(j\), and let \(V_j\) denote its stated insured value. For a particular treaty, define \(I_j=1\) if risk \(j\) satisfies every stated eligibility condition, and \(I_j=0\) otherwise. In a simplified review where the treaty covers the full stated value of each eligible risk and has no separate per-risk cap, the total eligible value is:
This expression measures eligible stated value; by itself, it does not calculate a reinsurance recovery. If a treaty applies only to a portion of a risk, imposes caps, or contains other coverage mechanics, the expression must be adjusted to reflect those terms. Those details cannot be inferred from eligibility alone.
For facultative placements, let \(C_j\) denote the amount specifically accepted for risk \(j\), with \(C_j=0\) when no coverage was bound. The total amount specifically placed is \(\sum_{j=1}^{n} C_j\). If the reinsurer accepts a risk only in part, \(C_j\) is that agreed amount, not automatically the risk’s full insured value.
Worked Examples
The examples use hypothetical contracts and deterministic stated values. Interest, mortality, and a probability distribution are not relevant to these placement and eligibility calculations.
Worked Example: Identify Facultatively Bound Risks
A hypothetical insurer submits three commercial-property risks to a reinsurer. Risk A has an insured value of $9.60 million; Risk B has an insured value of $7.40 million; and Risk C has an insured value of $12.00 million. The reinsurer confirms coverage for all of Risk A, declines Risk B, and confirms coverage for $8.00 million of Risk C. The confirmations are effective for the relevant policy periods. Determine which risks have facultative coverage and the total amount specifically accepted.
Method. Check the individual decision for each risk. A submission is a request for coverage, not evidence that coverage was bound.
Risk A is accepted in full, so \(C_A=\$9.60\) million. Risk B is declined, so \(C_B=\$0\). Risk C is accepted only in part, so \(C_C=\$8.00\) million, not its full insured value of $12.00 million.
The total specifically accepted is:
Thus, Risks A and C have facultative coverage, with $17.60 million accepted in total; Risk B has none under these submissions. The method avoids the common mistake of adding all three submitted values, which would give $29.00 million and wrongly treat submission as acceptance.
Worked Example: Test Treaty Eligibility Across Several Conditions
A hypothetical treaty covers commercial-property policies in States M and N that incept during the treaty year. It excludes buildings with a specified high-hazard construction type. Assume no other eligibility conditions or limits apply. The insurer reports these policies: an eligible-construction building in State M, incepting during the treaty year, valued at $2.40 million; an eligible-construction building in State N, incepting during the treaty year, valued at $1.80 million; a high-hazard-construction building in State M, incepting during the treaty year, valued at $3.10 million; an eligible-construction building in State M, incepting before the treaty year, valued at $0.90 million; and an eligible-construction building in State M, incepting during the treaty year, valued at $1.20 million. Find the number of qualifying policies and their total stated insured value.
Method. Test each policy against all three conditions: covered location, inception during the treaty year, and no stated construction exclusion.
The first policy meets all conditions: State M, correct period, and eligible construction. Include $2.40 million.
The second policy also meets all conditions: State N is covered, its inception is in the treaty year, and its construction is eligible. Include $1.80 million.
The third policy is in the correct state and period but fails the construction condition. Exclude its $3.10 million.
The fourth policy has eligible construction and location but incepted before the treaty year. Exclude its $0.90 million.
The fifth policy meets all three conditions. Include $1.20 million. Therefore, three policies qualify, and their total stated insured value is:
The check is that exactly three of the five policies passed every condition. The common mistake is to include a policy because it meets most conditions or appears in a report; eligibility requires satisfying the full stated test.
Worked Example: Combine Treaty Eligibility With a Facultative Submission
A hypothetical treaty covers small commercial buildings in Region R with stated insured values no greater than $4.00 million, provided their policies incept during the treaty year. The treaty has no other relevant conditions or limits. Four eligible-construction buildings in Region R have values and placement histories as follows: Building A, $3.20 million, incepting during the year; Building B, $4.70 million, incepting during the year, submitted facultatively and accepted in full; Building C, $5.10 million, incepting during the year, submitted facultatively but declined; and Building D, $2.60 million, incepting during the year. Identify the treaty-eligible risks and the facultatively accepted risk. Calculate the treaty-eligible stated value and the facultatively accepted amount separately.
Method. Apply the treaty’s value threshold and inception condition first. Then consider the separate facultative decisions for risks submitted individually.
Building A satisfies both treaty conditions: $3.20 million is no greater than $4.00 million, and its policy incepts during the treaty year. Its treaty-eligible value is $3.20 million.
Building B exceeds the treaty threshold because $4.70 million is greater than $4.00 million. It is therefore not treaty-eligible under the stated terms. Its separate facultative submission was accepted in full, so the facultatively accepted amount is $4.70 million.
Building C also exceeds the treaty threshold because $5.10 million is greater than $4.00 million. It is not treaty-eligible, and its facultative submission was declined, so its facultatively accepted amount is $0.
Building D satisfies the treaty conditions because $2.60 million is no greater than $4.00 million and its policy incepts during the year. Its treaty-eligible value is $2.60 million.
The treaty-eligible stated value is:
The facultatively accepted amount is $4.70 million for Building B. This example keeps the placement routes separate: the treaty test does not make Building B eligible, and its facultative acceptance does not make Building C covered. The common mistake is to assume that a risk outside a treaty’s scope is automatically facultatively covered; a separate acceptance is required.
Common Traps and Practical Checks
- Equating submission with binding. For facultative business, locate the specific acceptance and verify its scope and effective date. A proposal, quote, or request alone is not proof of bound coverage.
- Treating a treaty as unlimited automatic coverage. Automatic treatment applies only to risks within the defined class and conditions. Check every stated eligibility requirement and exclusion.
- Assuming a report creates eligibility. A listing or bordereau may report a risk, but it does not make an out-of-scope risk qualify unless the contract says so.
- Confusing eligibility with recovery. A risk can qualify for a treaty without the eligible stated value being the amount recoverable for a particular loss. Recovery depends on the coverage mechanics and loss details.
- Combining placement amounts without checking overlap. If a risk appears under more than one arrangement, review the actual contracts and placement records before treating amounts as separate coverage. Do not infer cumulative protection from two labels.
A reliable review follows the same sequence: identify the route, read the operative terms, check the evidence of acceptance or eligibility, and only then calculate amounts. This distinction supports sound portfolio records and capital analysis. It is aligned with the CAS Exam 9 (Risk Management for Actuaries) syllabus.
Check Your Understanding
For each hypothetical case, classify coverage from the stated facts and show the key arithmetic before checking the answer.
- A reinsurer receives three facultative submissions with insured values of $5.20 million, $3.60 million, and $4.80 million. It accepts the first in full, declines the second, and accepts $3.00 million of the third. What total amount is specifically accepted? (Answer: $8.20 million)
- A treaty covers incepting-year policies in Regions A and B, except for a stated excluded construction type. Four reported values are $1.40 million in Region A with eligible construction, $2.10 million in Region B with eligible construction, $3.00 million in Region A with excluded construction, and $0.80 million in Region C with eligible construction. How many qualify, and what is their total stated value? (Answer: 2 policies; $3.50 million)
- A treaty covers policies incepting from January 1 through December 31 in Region K. A qualifying risk valued at $1.70 million incepts on December 31; another valued at $2.30 million incepts the following January 1. If no other conditions apply, what stated value qualifies under this treaty year? (Answer: $1.70 million)
- A treaty covers eligible risks valued at no more than $3.50 million in a specified territory during its contract year. Three risks in that territory and year have values of $3.20 million, $3.80 million, and $2.40 million. The $3.80 million risk is accepted in full under a separate facultative placement; the other two have no facultative placements. What is the treaty-eligible value, and what is the facultatively accepted amount? (Answer: Treaty-eligible value $5.60 million; facultatively accepted amount $3.80 million)
- A treaty requires a risk to be in a named class, in one of two specified states, and to incept during the contract year. A reported risk meets the class and state tests but incepts one day before the contract year. It was also submitted facultatively, but the reinsurer has not confirmed acceptance. Is it covered under either route on the stated facts? (Answer: No; it fails the treaty period condition, and facultative coverage has not been accepted)